You are the financial advisor to Mr. Agirich who has been having his 400 acres c
ID: 2759265 • Letter: Y
Question
You are the financial advisor to Mr. Agirich who has been having his 400 acres custom harvested at a cost of $22.00 per acre. However, he has been informed that the price is going up to $27.00 next year. Moreover, he is considering the acquisition of his
own machine, either through leasing or cash purchase.
If he shifts from custom harvesting to operating the machine himself, he will need to hire one extra man for 14 days each year
at $75.00 per day. Moreover, he estimates that operating costs, including fuel, lubrication, repair, insurance, etc. will be $8.00 per acre. The cost of machine purchase is $50,000. The economic life of the machine is projected to be seven years, with no salvage value. He plans to borrow 80% of the purchase price (20% down payment) using a loan that is fully amortized at 10% over three years (annual payments).
He can also obtain control of this machine through a financial lease for $9,600 per year for 7 years, due at the beginning of each year. He will assume responsibility for repair, insurance, and operation under this financial lease just as though he purchased the machine. Assume that the tax deduction due to the lease can be taken at the beginning of the year.
He projects his tax rate on marginal income to be 15%. He uses 5-year straight-line depreciation on the farm machinery he owns. He has other investment opportunities that promise to pay 10%. Assume that the inflation rate is 0%.
PROBLEM
Assuming all three methods of control (custom hire, leasing, or purchase) are otherwise satisfactory to him, which would be the best investment?
QUESTION 1
What is the annual cost of custom hire (absolute value)?
$46,987
$10,800
$10,000
$9,180
None of the above
10 points
QUESTION 2
What is the annual after-tax cost of custom hire (absolute value)?
$46,987
$10,800
$10,000
$9,180
None of the above
10 points
QUESTION 3
What is the Net Present Value of Custom hire (absolute value)?
$46,987
$10,800
$10,000
$9,180
None of the above
10 points
QUESTION 4
What is the annuity equivalent of custom hire (absolute value)?
$46,987
$10,800
$10,000
$9,180
None of the above
10 points
QUESTION 5
What is the annual operating and labor cost if the machine is purchased (absolute value)?
$3,612.5
$4,250
$10,000
$8,500
None of the above
10 points
QUESTION 6
What is the after-tax annual operating and labor cost if the machine is purchased (absolute value)?
$3,612.5
$4,250
$10,000
$8,500
None of the above
10 points
QUESTION 7
What is the annual depreciation used for tax purposes if the machine is purchased (absolute value)?
$3,612.5
$4,250
$10,000
$8,500
None of the above
10 points
QUESTION 8
What is the annual tax savings from depreciation in the fourth year if the machine is purchased (absolute value)?
$3,612.5
$4,250
$10,000
$1,500
None of the above
10 points
QUESTION 9
What is the annual tax savings from depreciation in the seventh year if the machine is purchased (absolute value)?
$3,612.5
$4,250
$10,000
$1,500
None of above
10 points
QUESTION 10
What is after-tax terminal value of the machine if the machine is purchased (absolute value)?
$18,490
$5,911
$8,500
$62,580
None of the above
10 points
QUESTION 11
What is the present value of annual operating and labor costs if the machine is purchased (absolute value)?
$18,490
$5,911
$8,500
$62,580
$12,226
10 points
QUESTION 12
What is the present value of the tax savings from depreciation if the machine is purchased (absolute value)?
$18,490
$5,911
$8,500
$62,580
$12,226
10 points
QUESTION 13
What is the net present value if the machine is purchased (absolute Value)?
$18,490
$5,911
$8,500
$62,580
$12,226
10 points
QUESTION 14
What is annual equivalent if the machine is purchased (absolute value)?
$18,490
$5,911
$8,500
$62,580
$12,226
10 points
QUESTION 15
What is the annual after-tax cost of the lease at the beginning of the first year (absolute value)?
$12,466
$63,807
$3,612
$11,772
$8,160
10 points
QUESTION 16
What is the annual after-tax cost of the lease and additional operating expenses at the beginning of the second year (absolute value)?
$12,466
$63,807
$3,612
$11,772
$8,160
10 points
QUESTION 17
What is the annual after-tax cost of the additional operating expenses during the seventh year (absolute value)?
$12,466
$63,807
$3,612
$11,772
$8,160
10 points
QUESTION 18
What is the Net Present Value if the machine is leased (absolute value)?
$12,466
$63,807
$3,612
$11,772
$8,160
10 points
QUESTION 19
What is the annuity equivalent if the machine is leased (absolute value)?
$12,466
$63,807
$3,612
$11,772
$8,160
10 points
QUESTION 20
Purchasing the Machine has a lower cost so you would choose to purchase the machine?
True
False
$46,987
$10,800
$10,000
$9,180
None of the above
Explanation / Answer
What is the annual cost of custom hire (absolute value)?
= $400*27
= $10,800
What is the annual after-tax cost of custom hire (absolute value)?
= $10,800*(1-t)
= $10,800*(1-0.15)
= $9,180
What is the Net Present Value of Custom hire (absolute value)?
Year
Cash flow
Discount rate@10%
Present value
1
9180
0.909090909
8345.45
2
9180
0.826446281
7586.78
3
9180
0.751314801
6897.07
4
9180
0.683013455
6270.06
5
9180
0.620921323
5700.06
6
9180
0.56447393
5181.87
7
9180
0.513158118
4710.79
Total
4.868418818
44692.08
None of the above
What is the annuity equivalent of custom hire (absolute value)?
= 44692.08 /4.8684
= $9180.03
Year
Cash flow
Discount rate@10%
Present value
1
9180
0.909090909
8345.45
2
9180
0.826446281
7586.78
3
9180
0.751314801
6897.07
4
9180
0.683013455
6270.06
5
9180
0.620921323
5700.06
6
9180
0.56447393
5181.87
7
9180
0.513158118
4710.79
Total
4.868418818
44692.08
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